(i)[4]
When $v = 1.5$, determine the magnitude of the force exerted on $P$ by the surface.
(ii)[3]
If instead $P$ is moving at the highest speed possible without losing contact with the surface, determine $v$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light inextensible string of length $0.2\,\text{m}$ has one end fastened at a fixed point $A$ above a smooth horizontal surface. The other end carries a particle $P$ of mass $0.6\,\text{kg}$. With the string taut and inclined at an angle of $30^\circ$ to the horizontal (see diagram), $P$ travels on the surface in a circle at constant speed $v\,\text{m s}^{-1}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the relation $0.6 \times 1.5^2 /(0.2\cos30^\circ) = T\cos30^\circ$” …
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